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Finding the Third Proportional to 2,754,112 and 5,965,784

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Solution

The third proportional to 2,754,112 and 5,965,784 is: 12,922,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,112 : 5,965,784 = 5,965,784 : x
  2. Step 2: Convert to fraction form
    2,754,112/5,965,784 = 5,965,784/x
  3. Step 3: Cross multiply
    2,754,112x = 5,965,784 × 5,965,784
  4. Step 4: Simplify right side
    2,754,112x = 35,590,578,734,656
  5. Step 5: Solve for x
    x = 35,590,578,734,656/2,754,112
  6. Step 6: Final answer
    x = 12,922,705.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.